Research on Control Algorithm of Flexible Manipulator Based on PD-Type Distributed Parameter Boundary Control

In this paper, the Hamilton method is used to establish a distributed parameter model for a single-link flexible robotic arm based on the form of partial differential equations. The distributed parameter system is used to control the model. The boundary control method is used to add a boundary control input to the end boundary of the manipulator. The PD boundary controller is designed, and the distributed parameter boundary control based on the exponential convergence method is performed on the end boundary of the manipulator to adjust the vibration of the robotic arm. The Lyapunov function is designed to prove the stability of the system through calculation.